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solve the system using elimination.
-3x + 2y = 10
6x + 6y = 0


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Sagot :

Answer:

8

Step-by-step explanation:

Answer to Solved -2x-6y= 10 37. 4x + 6y- -2 38. -2x + 5y =-8 2x +7y 8

Answer:

x = −2 and y = 2

Step-by-step explanation:

Multiply the first equation by 2, and multiply the second equation by 1.

2(−3x + 2y = 10)

1(6x + 6y = 0)

Becomes:

−6x + 4y = 20

6x + 6y = 0

Add these equations to eliminate x:

10y = 20

Then solve 10y = 20 for y:

10y = 20

10y/10 = 20/10 (Divide both sides by 10)

y = 2

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−3x + 2y = 10

Substitute 2 for y in −3x + 2y = 10:

−3x + (2)(2) = 10

−3x + 4 = 10(Simplify both sides of the equation)

−3x + 4 − 4 = 10 − 4(Subtract 4 to both sides)

−3x = 6

-3x/-3 = 6/-3 (Divide both sides by -3)

x = −2